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On a Two-Step Kurchatov-Type Method in Banach Space

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Abstract

We present the semi-local convergence analysis of a two-step Kurchatov-type method to solve equations involving Banach space valued operators. The analysis is based on our ideas of recurrent functions and restricted convergence region. The study is completed using numerical examples.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USA

    Ioannis K. Argyros

  2. Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Mangalore, 575 025, India

    Santhosh George

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  1. Ioannis K. Argyros
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  2. Santhosh George
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Correspondence to Santhosh George.

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Argyros, I.K., George, S. On a Two-Step Kurchatov-Type Method in Banach Space. Mediterr. J. Math. 16, 21 (2019). https://doi.org/10.1007/s00009-018-1285-7

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  • DOI: https://doi.org/10.1007/s00009-018-1285-7

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